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Finding the Fourth Proportional to 431,502.87, 647,150.39 and 131,986.00

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Solution

The fourth proportional to 431,502.87, 647,150.39 and 131,986.00 is: 197,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,502.87 : 647,150.39 = 131,986.00 : x
  2. Step 2: Convert to fraction form
    431,502.87/647,150.39 = 131,986.00/x
  3. Step 3: Cross multiply
    431,502.87x = 647,150.39 × 131,986.00
  4. Step 4: Simplify right side
    431,502.87x = 85,414,787,478.86
  5. Step 5: Solve for x
    x = 85,414,787,478.86/431,502.87
  6. Step 6: Final answer
    x = 197,947.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.